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Chapter 4: Applications of Differentiation
____
3.
The graph of a function f is is shown below. Sketch the graph of the derivative .
a. d.
b. e.
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c.
____ 4. The graph of a function f is is shown below. Sketch the graph of the derivative .
a. d.
263 Chapter 4: Applications of Differentiation
b. e.
c.
____ 5. Analyze and sketch a graph of the function .
a. d.
4.6 A Summary of Curve Sketching
264
b. e.
c.
____ 6. Analyze and sketch a graph of the function .
a. d.
265 Chapter 4: Applications of Differentiation
b. e.
c.
____ 7. Analyze and sketch a graph of the function .
a. d.
4.6 A Summary of Curve Sketching
266
b. e. none of the above
c.
____ 8. Determine the slant asymptote of the graph of .
a.
b.
c.
d.
e. no slant asymptotes
267 Chapter 4: Applications of Differentiation
____ 9. Analyze and sketch a graph of the function .
a. d.
b. e.
c.
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____ 10.
Analyze and sketch a graph of the function
.
a.
d.
b. e.
c.
269
____
11.
Analyze and sketch a graph of the function
.
a.
d.
b. e.
c.
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____ 12.
Analyze and sketch a graph of the function
.
a.
d.
b. e.
c.
271 Chapter 4: Applications of Differentiation
____ 13. Analyze the graph of the function . Determine any intercepts,
relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or
decreasing and concave up or concave down. Then identify the graph from the choices below.
a. d.
b. e.
c.
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____ 14.
Sketch a graph of the function
over the interval
.
a.
d.
b. e.
c.
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Chapter 4: Applications of Differentiation
____
15.
Sketch a graph of the function
over the interval
.
a.
d.
b. e.
c.
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____ 16. Use the following graph of to sketch a graph of f.
a. d.
b. e.
275 Chapter 4: Applications of Differentiation
c.
____ 17. The graph of f is shown below. For which values of x is zero?
a.
b.
c.
d.
e.
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____ 18.
The graph of f is shown below. For which value of x is
zero?
a.
b.
c.
d.
e.
____ 19. The graph of f is shown below. On what interval is an increasing function?
a.
b.
c.
d.
e.